Esther and Tiffany have $136. Yoko and Esther have $162. The ratio of Tiffany to Yoko is 1 : 3. How much does Esther have?
Amount that Tiffany has = 1 u
Amount that Yoko has = 3 u
The amount that Esther has is the repeated identity.
Esther + 1 u = 136 --- (1)
Esther + 3 u = 162 --- (2)
(2) - (1)
3 u - 1 u = 162 - 136
2 u = 26
1 u = 26 ÷ 2 = 13
From (1):
Esther + 1 u = 136
Esther + 1 x 13 = 136
Esther + 13 = 136
Amount that Esther has
= 136 - 13
= $123
Answer(s): $123